Suppose you want to have $800,000 for retirement in 20 years. Your account earns 8% interest. How much would you need to deposit in the account each month?
Answer:
$40,000
Step-by-step explanation:
this the workings above
A game increased in price by 1/2 After the increase it was priced at £72. What was the original
price of the game?
Answer:
£48
Step-by-step explanation:
£72 / 3 = £24
£24 x 2 = £48
Hope this helps c:
If llm and m<6 = 4x - 15 and m<7 = x + 30, then m<6=
Answer:
Step-by-step explanation:
There are only 2 angle values that <1 to <8 can be. The two values add up to 180
In this case <6 and <7 are equal.
<6 = 4x - 15
<7 = x + 30
4x - 15 = x + 30 Subtract x from both sides
4x-x - 15 = 30 Add 15 to both sides
3x = 30 + 15
3x = 45 Divide by 3
x = 45 / 3
x = 15
<6 = 4x - 15
<6 = 4*15 - 15
<6 = 60 - 15
<6 = 45
I pleased anyone to help me please
Answer:
The first one (90, 90) is supplimentary, the next two (54, 36. and 45, 45) are complimentary, and the last two are supplimentary.
Step-by-step explanation:
A complimentary angle is two angles that add up to 90, and supplimentary is two angles that add up to 180! :)
Answer:
1st picture at the top would be a supplementary angle because a supplementary angles always add to 180 degrees.
the 54 and 36 one is a complementary angle
the 45 and 45 would be complementary angle
the last two on the bottom would both be supplementary angles.
High hopes-
Barry
The time spent waiting in the line is approximately normally distributed. The mean waiting time is 6 minutes and the variance of the waiting time is 9. Find the probability that a person will wait for more than 9 minutes.
Answer:
0.1587 = 15.87% probability that a person will wait for more than 9 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The mean waiting time is 6 minutes and the variance of the waiting time is 9.
This means that [tex]\mu = 6, \sigma = \sqrt{9} = 3[/tex]
Find the probability that a person will wait for more than 9 minutes.
This is 1 subtracted by the p-value of Z when X = 9. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{9 - 6}{3}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.8413.
1 - 0.8413 = 0.1587
0.1587 = 15.87% probability that a person will wait for more than 9 minutes.
Josephine left home traveling at 25 mph. One hour later her friend, Steve, leaves from the same place and travels the same road traveling at 50 mph. How many hours will it take Steve to catch up to Josephine?
Answer:
1 hour
Step-by-step explanation:
J = 50 mph by 2 hours
S = 50 mph by 1 hour
2-1 = 1
1. Mary got the following scores: 83, 88, 78, 80, and 90 in her examination in English. What is the mean score of Mary?
A. 83.08
B. 83.8
C. 88.38
D. 88.83
2. A list of 5 pulse rates: 70, 64, 80, 74, and 92. Which of the following is the median for this list? *
A. 80
B. 77
C. 76
D. 74
3. After checking the summative test of her 50 students, Teacher Rose found out that most of her students got 38 correct answers out of 50-item test. Which measure of central tendency do 38 represent?
A. frequency
B. median
C. mode
D. range
4. Mary found out that the difference between her highest score and lowest score in the first periodic test is 27. What measure of variability did she use?
A. range
B. mean
C. class size
D. class interval
5. What is the average deviation of the scores 5, 4, 3, 6, and 2?
A. 3.5
B. 3
C. 2.5
D. 1.2
6. If the range of the grouped data is 30 and the lower class boundary is 64.5, which of the following is the upper class boundary of the distribution?
A. 84.5
B. 85.5
C. 90.5
D. 94.5
If you have the variance, how do you get the standard deviation?
A. Square it
B. Take the square root
C. Take the reciprocal
D. Divide it by the sample size
7. If the standard deviation is 14.3, which of the following is the variance?
A. 204.49
B. 104.5
C. 28.6
D. 24.94
please answer this guys, i really need your help.
Answer:
1=83.08
Step-by-step explanation:
mean=summation of number divided by number
1. Find the Perimeter AND Area of the figure
below.
2 ft
5 ft
2 ft
5 ft
Answer:
A = 16 ft^2
P = 20 ft
Step-by-step explanation:
P = perimeter
A = area
STEP 1: divide the shape into rectangles
Rectangle 1: 2ft*3ft
Rectangle 2: 2ft*5ft
STEP 2: Find the area of each rectangle
Equation for area of a rectangle = bh
Rectangle 1: b = 2, h = 3
Rectangle 2: b = 2, h = 5
(2 * 3) + (2 * 5)
6 + 10
16 ft^2
Now, we have to find the perimeter
STEP 1: Find the unknown side lengths.
To find the lengths of the sides not labeled, you have to use the lengths of the sides we already know.
The length of one parallel side is 5, and the length of another parallel side is 2. The length of the unknown side starts at the same place as the top of the side length that is 5, and ends at the top of the side length that is 2. This means that we have to subtract 2 from 5 in order to find the unknown side length.
STEP 2: Add up all the side lengths
P = 2 + 5 + 5 + 2 + 3 + 3
P = 20 ft
Don't forget to label your answers!!
I hope this made sense, it's is a little hard to explain in simple terms without being able to draw, but I hope it helped.
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.)
g(t) =
4 + t + t2
t
G(t) =
Step-by-step explanation:
[tex]G(t) =\displaystyle \int (4 + t + t^2)dt[/tex]
[tex]\:\:\:\:\:\:\:=4t + \frac{1}{2}t^2 + \frac{1}{3}t^3 + C[/tex]
Check:
[tex]\dfrac{d}{dt}(4t + \frac{1}{2}t^2 + \frac{1}{3}t^3+C)= 4 + t + t^2 =g(t)[/tex]
I’m stuck please help .
Answer:
me too
Step-by-step explanation:
me too
Find the value for the side marked below.
Round your answer to the nearest tenth.
у
100
49°
y = [?]
Answer:
y = 75.5
Step-by-step explanation:
Reference angle (θ) = 49°
Hypotenuse = 100
Opposite = y
Apply trigonometric function, SOH. Which is:
Sin θ = Opp/Hyp
Plug in the values
Sin 49 = y/100
100*Sin 49 = y
y = 75.5 (nearest tenth)
Which pair of points have equal x-coordinates?
Answer:
A. Q and R
Step-by-step explanation:
The x-axis is the horizontal line. The y-axis is the vertical line.
On the x-axis, go to the left, all the way to -5.
Look at the line that goes through -5 vertically. You will see that that line intersects with both Q and R.
This means that Q and R have equal x-coordinates, -5.
They're x and y coordinates would be
Q- (-5, 6)
R- (-5, -7)
I hope this helps!
Answer: Q and R
Step-by-step explanation:
See since in the photo the Q coordinate(Q) is directly above the R coordinate(R), that can only mean that they have the same X coordinate(X) or else it wouldn't be possible for Q to be right above R. The reason Q is right above R is because their Y coordinates(Y) are different, not because of X.
I hope this helps!
write the following sets in the set builder form C={1,4,9,16,25}
C={ check example in book}
5. There are 8 sections of seats in an auditorium. Each section contains at least 150 seats but not more than 200 seats. Which of the following could be the number of seats in this auditorium? (A) 800 (B) 1,000 (C) 1,100 (D) 1,300 (E) 1,700
Answer:
1300
Step-by-step explanation:
Given that :
Number of sections = 8
Number of seats per section, x ;
150 ≤ x ≤ 200
The possible Number of seats in the auditorium :
Number of seats per section * number of sections
150 * 8 ≤ x ≤ 200 * 8
1200 ≤ x ≤ 1600
The possible Number of seats will lie within 1200 and 1600
From the options, only 1300 lie within this range
how do you write in numerals
Answer:
Basic numbersNumbers up to nine should always be written in words, anything higher than nine can be written in numerals. Alternatively, some guides suggest that if you can write the number in two words or fewer then use words rather than number.hope it's helpful for u !! stay safe ...Step-by-step explanation:
1 : a conventional symbol that represents a number. 2 numerals plural : numbers that designate by year a school or college class and that are awarded for distinction in an extracurricular activity. Other Words from numeral Synonyms Example Sentences Learn More About numeral.A numeral is a symbol or name that stands for a number. Examples: 3, 49 and twelve are all numerals. So the number is an idea, the numeral is how we write it.hope it helps.stay safe healthy and happy...The point-slope form of a line that has a slope of -2 and passes through point (5,-2) is shown below.
y+2=-2(x-5)
What is the equation in slope-intercept form?
O y=-2x+12
O y=-2x+8
O y=-22-7
O y=-2x-3
Savait
Answer:
y = -2x + 8Step-by-step explanation:
The equation in slope-intercept form: y = mx + b
y + 2 = -2(x - 5)
y + 2 = -2x + 10 {subtract 2 from both sides
y = -2x + 8
What is the probability a person admitted to the hospital is paid a malpractice claim (to decimals)
Full question:
Astudy of 31,000 hospital admissions in New York State found that 4% of the admissions
led to treatment-caused injuries. One-seventh of these treatment-caused injuries resulted in
death, and one-fourth were caused by negligence. Malpractice claims were filed in one out
of 7.5 cases involving negligence, and payments were made in one out of every two claims
What is the probability a person admitted to the hospital is paid a malpractice claim (to decimals)
Answer:
Explanation:
Since 4% of admissions lead to treatment-caused injuries, we have 4/100×31000= 1240 treatment caused injuries for every 31000 people admitted
1/7 resulted in death = 1/7×1240= 177 people die for every 1240 treatment caused injuries
1/4 from negligence= 1/4×1240= 310 people get treatment caused injuries from negligence for every 1240 people
Malpractice claims in one of out of 7.5 cases of negligence= 13.3% of negligence cases= 0.1333×310= 41 claims for every 1240 people with treatment caused injuries
Payments were made in one out of every two claims, therefore payments for claims =50% of 41 cases of negligence= 21 payments(approximately) for every 1240 people with treatment caused injuries
Probability= number of favorable outcomes /total number of outcomes
Probability that a person admitted into the hospital will be paid a claim= 21/31000= 0.000677
The area of a rectangle is (4x2 − 49y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely.
Answer:
8x
Step-by-step explanation:
[tex](4x^{2} - 49y^{2} ) = (2x+7y)(2x-7y)[/tex]
RESOLVER LOS SIGUIENTES SISTEMAS DE ECUACIONES APLICANDO EL METODO DE SUSTITUCION
2x +3y = 2
-6x + 12y = 1
Answer:
x = 1/2; y = 1/3
Step-by-step explanation:
2x + 3y = 2 Eq. 1
-6x + 12y = 1 Eq. 2
Eq. 1
2x + 3y = 2
2x = -3y + 2
x = -3/2 y + 1
Eq. 2
-6x + 12y = 1
De Eq. 1 sabemos que x = -3/2 y + 1
-6x + 12y = 1
-6(-3/2 y + 1) + 12y = 1
9y - 6 + 12y = 1
21y - 6 = 1
21y = 7
y = 7/21
y = 1/3
Eq. 1
2x + 3y = 2
2x + 3(1/3) = 2
2x + 1 = 2
2x = 1
x = 1/2
Respuesta: x = 1/2; y = 1/3
Which graph represents the solution of x2 + y2 < 25 and y2 <6x?
Answer:
The center of the circle is found at h,k
These values represent the important values for graphing and analyzing a circle.
Center: 0,0
And also,
Algebra Graph x^2+y^2=25 x2 + y2 = 25 x 2 + y 2 = 25 This is the form of a circle.
And also,
Simple and best practice solution for X2+y2=25 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework. If it's not what You are looking for type in the equation solver your own equation and let us solve it.
And also,
Match the values in this circle to those of the standard form. The variable r r represents the radius of the circle, h h represents the x-offset from the origin, and k k represents the y-offset from origin. The center of the circle is found at (h,k) ( h, k).
And also,
Ox (0) 6°x= 1) 6x ** + y = 25 SOLUTION (a) Since f(x) = 25 - x2 0, we can interpret this integral as the area under the curve y = 25 - x2 from 0 to 5 . But since y2 = 25 - x2 , we get x2 + y2 = 25, which shows that the graph of fis a quarter-circle with radius 5 in the top figuer
And also,
(3x2y2)3 Final result : 32x2y2 Reformatting the input : Changes made to your input should not affect the solution: (1): "y2" was replaced by "y^2".
And thats all!
Solution graph is image 2.
We first graph [tex]x^2+y^2=25[/tex]. This is a circle with center = (0,0) and radius = [tex]\sqrt{25} =5[/tex].
For [tex]x^2+y^2<25[/tex], we'll shade inside the circle.
[tex]y^2=6x[/tex] is a parabola.
we make a table for it.
x -1 0 1
y -6 0 6
For [tex]y^2<6x[/tex] we'll shade inside the parabola.
So the graph will be image 1.
So the solution region is image 2.
Learn more: https://brainly.com/question/15816805
Find m angle LKJif m angle LKD=60^ and m angle DKJ=55^
Answer:
<LKJ = 115°
Step-by-step explanation:
<LKJ = <LKD + <DKJ
<LKJ = 60°+55°
<LKJ = 115°
Answered by GAUTHMATH
Answer:
We're provided - m ∠ LKD = 60° , m ∠ DKJ = 55° and we're asked to find out m ∠ LKJ. Now , Look the figure more carefully , we can see that we can create an equation and solve for m ∠ LKJ.[tex] \large{ \tt{✺ \: m \: \angle \: LKJ= m \: \angle} \: LKD \: + \: m \: \angle \: dKJ}[/tex]
[tex] \large{ \tt{⟶ \: m \: \angle \: LKJ= 60 \degree + 55 \degree}}[/tex]
[tex] \large{ \boxed{ \tt{⟶ \: m \: \angle \: LKJ = 115 \degree}}}[/tex]
Hence , Our final answer is 115° . Hope I helped! Let me know if you have any questions regarding my answer and also notify me , if you need any other help! :)▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
There are 1,200 people at the beach. If 88% of them went in the water, how many people DID NOT go in the water?
Answer:
144 people
Step-by-step explanation:
88% = 0.88
We multiply the total number with 0.88 to see how many people went in the water:
1200(0.88) = 1056
To find the number of those who did NOT go in the water, we subtract the product from the total number:
1200 - 1056 = 144
Answer:
144 people DID NOT go in the water
Step-by-step explanation:
We know that there at 1,200 ppl at the beach and 88% of them DID go into the water.
So the percent of people that DID NOT go into the water is 12%, because
100% - 88% = 12%
12% is the same as 0.12
Multiply 0.12 and 1,200 and you get: 144
Hope it helps (●'◡'●)
Use quadratic regression to find the
equation for the parabola going
through these 3 points.
(-4, 7) (6, -33) (10, -105)
HELP PLZ
Answer:
[tex]y= -x^{2} -2x+15[/tex]
Step-by-step explanation:
[tex]y= -x^{2} -2x+15[/tex]
some pleaseeeeee help!!
f(x) = 3x + 4 + 2
g(x) = 4
Find (f +g)(x).
Answer:
3x^2 + 10x
Step-by-step explanation:
If u wrote it correctly it would be ((x+4+2)+4)(x)
In triangle ABC , segment AB is congruent to segment CB . Which angles are congruent?
Answer:
angles A and C are congruent
evaluate:(0.0001)-¾
Answer:
0.001
Step-by-step explanation:
(0.0001)^-3/4=((0.1)⁴)^-3/4
(0.1)^4×-3/4
0.1^‐3
0.001
Use multiplication to solve the proportion.
y/9 = 44/54
Answer: [tex]y=7\dfrac{1}{3}[/tex].
Step-by-step explanation:
[tex]\dfrac{y}{9} =\dfrac{44}{54} \\\\y \times 54=44 \times 9\\\\54y=396\\\\54y \div 54=396 \div 54\\\\y=7\dfrac{1}{3}[/tex]
5x+2y=-3;x+5y=4
plz answer me
Answer:
x = -1 and y = 1
Step-by-step explanation:
5x + 2y = -3 . . . . . . . (i)
x + 5y = 4 . . . . . . . (ii)
Finding x in terms of y from eq. (ii) :-x + 5y = 4
x = 4 - 5y
Placing this value of x in eq. (i) :-5(4 - 5y) + 2y = -3
20 - 25y + 2y = -3
-23y = - 23
y = 1
Placing the value of y in eq. (i)5x + 2(1) = -3
5x + 2 = -3
5x = - 5
x = -1
add 10ft 3in + 3ft 9in + 8ft 10in
Which of the following is an x-intercept of the function, f(x) = x3 – x2 - 8x +12?
O A. -4
B. 3
C. 4
D. -3